Majorization in de Branges spaces II. Banach spaces generated by majorants

Details Majorization in de Branges spaces II. Banach spaces generated by majorants Majorization in de Branges spaces II. Banach spaces generated by majorants

2009-06-16

arxiv.org/abs/0906.2943v1

Collectanea Mathematica, 62 (2011), 1, 27-55

Mathematics

Complex Variables

Scientific paper

This is the second part in a series dealing with subspaces of de Branges spaces of entire function generated by majorization on subsets of the closed upper half-plane. In this part we investigate certain Banach spaces generated by admissible majorants. We study their interplay with the original de Branges space structure, and their geometry. In particular, we will show that, generically, they will be nonreflexive and nonseparable.

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